| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.42 |
| Score | 0% | 68% |
If there were a total of 300 raffle tickets sold and you bought 15 tickets, what's the probability that you'll win the raffle?
| 14% | |
| 1% | |
| 5% | |
| 15% |
You have 15 out of the total of 300 raffle tickets sold so you have a (\( \frac{15}{300} \)) x 100 = \( \frac{15 \times 100}{300} \) = \( \frac{1500}{300} \) = 5% chance to win the raffle.
Damon loaned Ezra $1,500 at an annual interest rate of 2%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $30 | |
| $84 | |
| $33 | |
| $16 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $1,500
i = 0.02 x $1,500
i = $30
Find the average of the following numbers: 14, 8, 15, 7.
| 13 | |
| 7 | |
| 12 | |
| 11 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{14 + 8 + 15 + 7}{4} \) = \( \frac{44}{4} \) = 11
Solve for \( \frac{5!}{3!} \)
| \( \frac{1}{120} \) | |
| 20 | |
| \( \frac{1}{72} \) | |
| \( \frac{1}{840} \) |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{5!}{3!} \)
\( \frac{5 \times 4 \times 3 \times 2 \times 1}{3 \times 2 \times 1} \)
\( \frac{5 \times 4}{1} \)
\( 5 \times 4 \)
20
What is \( \frac{4}{8} \) ÷ \( \frac{3}{6} \)?
| 1 | |
| \(\frac{1}{7}\) | |
| 3 | |
| 8 |
To divide fractions, invert the second fraction and then multiply:
\( \frac{4}{8} \) ÷ \( \frac{3}{6} \) = \( \frac{4}{8} \) x \( \frac{6}{3} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{8} \) x \( \frac{6}{3} \) = \( \frac{4 x 6}{8 x 3} \) = \( \frac{24}{24} \) = 1